t-BASICITY OF ROOT FUNCTIONS OF ONE NONLOCAL SPECTRAL PROBLEM FOR BOCHNER SPACE
DOI:
https://doi.org/10.58225/sw.2026.1-62-72Keywords:
nonlocal spectral problem, t-basicity, t-Riesz property, Bochner space, Unconditional Martingale Difference propertyAbstract
We consider the system of functions, which are the root functions of one nonlocal spectral problem. It is introduced the concept of -basis, induced by some tensor product. It is established the -basisity of root functions for Bochner space Lp(J;X), 1<p<+∞, if is UMD (Unconditional Martingale Difference) space, where . For this goal we firstly define the concept of t-Riesz property for classical trigonometric system and prove that if is UMD space, then the trigonometric system has -Riesz property in Lp(J;X), 1<p<+∞
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Copyright (c) 2026 Bilal Bilalov, Sabina Sadigova (Author)
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